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10244164608 = 2103613723
BaseRepresentation
bin10011000101001100…
…11000110000000000
3222102221012111000000
421202212120300000
5131440001231413
64412304000000
7511600651056
oct114246306000
928387174000
1010244164608
114387622547
121b9a900000
13c73468a82
146d27601d6
153ee53d073
hex262998c00

10244164608 has 154 divisors (see below), whose sum is σ = 30705679604. Its totient is φ = 3414472704.

The previous prime is 10244164559. The next prime is 10244164661. The reversal of 10244164608 is 80646144201.

It is a happy number.

10244164608 is a `hidden beast` number, since 1 + 0 + 2 + 4 + 4 + 1 + 646 + 0 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 739635 + ... + 753357.

Almost surely, 210244164608 is an apocalyptic number.

10244164608 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10244164608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15352839802).

10244164608 is an abundant number, since it is smaller than the sum of its proper divisors (20461514996).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10244164608 is an frugal number, since it uses more digits than its factorization.

10244164608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13761 (or 13728 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The spelling of 10244164608 in words is "ten billion, two hundred forty-four million, one hundred sixty-four thousand, six hundred eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 243 256 288 324 384 432 486 512 576 648 729 768 864 972 1024 1152 1296 1458 1536 1728 1944 2304 2592 2916 3072 3456 3888 4608 5184 5832 6912 7776 9216 10368 11664 13723 13824 15552 20736 23328 27446 27648 31104 41169 41472 46656 54892 62208 82338 82944 93312 109784 123507 124416 164676 186624 219568 247014 248832 329352 370521 373248 439136 494028 658704 741042 746496 878272 988056 1111563 1317408 1482084 1756544 1976112 2223126 2634816 2964168 3334689 3513088 3952224 4446252 5269632 5928336 6669378 7026176 7904448 8892504 10004067 10539264 11856672 13338756 14052352 15808896 17785008 20008134 21078528 23713344 26677512 31617792 35570016 40016268 42157056 47426688 53355024 63235584 71140032 80032536 94853376 106710048 126471168 142280064 160065072 189706752 213420096 284560128 320130144 379413504 426840192 569120256 640260288 853680384 1138240512 1280520576 1707360768 2561041152 3414721536 5122082304 10244164608